TSTP Solution File: SYN542-1 by iProver-SAT---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : SYN542-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:17:38 EDT 2023

% Result   : Satisfiable 3.48s 1.16s
% Output   : Model 3.48s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Positive definition of ndr1_0 
fof(lit_def,axiom,
    ( ndr1_0
  <=> $true ) ).

%------ Positive definition of hskp57 
fof(lit_def_001,axiom,
    ( hskp57
  <=> $true ) ).

%------ Positive definition of hskp55 
fof(lit_def_002,axiom,
    ( hskp55
  <=> $true ) ).

%------ Positive definition of hskp54 
fof(lit_def_003,axiom,
    ( hskp54
  <=> $false ) ).

%------ Positive definition of hskp53 
fof(lit_def_004,axiom,
    ( hskp53
  <=> $true ) ).

%------ Positive definition of hskp52 
fof(lit_def_005,axiom,
    ( hskp52
  <=> $true ) ).

%------ Positive definition of hskp51 
fof(lit_def_006,axiom,
    ( hskp51
  <=> $true ) ).

%------ Positive definition of hskp50 
fof(lit_def_007,axiom,
    ( hskp50
  <=> $true ) ).

%------ Positive definition of hskp49 
fof(lit_def_008,axiom,
    ( hskp49
  <=> $true ) ).

%------ Positive definition of hskp47 
fof(lit_def_009,axiom,
    ( hskp47
  <=> $false ) ).

%------ Positive definition of hskp44 
fof(lit_def_010,axiom,
    ( hskp44
  <=> $true ) ).

%------ Positive definition of hskp42 
fof(lit_def_011,axiom,
    ( hskp42
  <=> $false ) ).

%------ Positive definition of hskp41 
fof(lit_def_012,axiom,
    ( hskp41
  <=> $false ) ).

%------ Positive definition of hskp40 
fof(lit_def_013,axiom,
    ( hskp40
  <=> $false ) ).

%------ Positive definition of hskp39 
fof(lit_def_014,axiom,
    ( hskp39
  <=> $true ) ).

%------ Positive definition of hskp38 
fof(lit_def_015,axiom,
    ( hskp38
  <=> $false ) ).

%------ Positive definition of hskp37 
fof(lit_def_016,axiom,
    ( hskp37
  <=> $true ) ).

%------ Positive definition of hskp36 
fof(lit_def_017,axiom,
    ( hskp36
  <=> $false ) ).

%------ Positive definition of hskp35 
fof(lit_def_018,axiom,
    ( hskp35
  <=> $false ) ).

%------ Positive definition of hskp34 
fof(lit_def_019,axiom,
    ( hskp34
  <=> $true ) ).

%------ Positive definition of hskp33 
fof(lit_def_020,axiom,
    ( hskp33
  <=> $false ) ).

%------ Positive definition of hskp32 
fof(lit_def_021,axiom,
    ( hskp32
  <=> $false ) ).

%------ Positive definition of hskp31 
fof(lit_def_022,axiom,
    ( hskp31
  <=> $false ) ).

%------ Positive definition of hskp30 
fof(lit_def_023,axiom,
    ( hskp30
  <=> $true ) ).

%------ Positive definition of hskp29 
fof(lit_def_024,axiom,
    ( hskp29
  <=> $false ) ).

%------ Positive definition of hskp28 
fof(lit_def_025,axiom,
    ( hskp28
  <=> $true ) ).

%------ Positive definition of hskp27 
fof(lit_def_026,axiom,
    ( hskp27
  <=> $false ) ).

%------ Positive definition of hskp26 
fof(lit_def_027,axiom,
    ( hskp26
  <=> $true ) ).

%------ Positive definition of hskp25 
fof(lit_def_028,axiom,
    ( hskp25
  <=> $true ) ).

%------ Positive definition of hskp24 
fof(lit_def_029,axiom,
    ( hskp24
  <=> $true ) ).

%------ Positive definition of hskp23 
fof(lit_def_030,axiom,
    ( hskp23
  <=> $true ) ).

%------ Positive definition of hskp22 
fof(lit_def_031,axiom,
    ( hskp22
  <=> $false ) ).

%------ Positive definition of hskp21 
fof(lit_def_032,axiom,
    ( hskp21
  <=> $false ) ).

%------ Positive definition of hskp20 
fof(lit_def_033,axiom,
    ( hskp20
  <=> $false ) ).

%------ Positive definition of hskp19 
fof(lit_def_034,axiom,
    ( hskp19
  <=> $false ) ).

%------ Positive definition of hskp18 
fof(lit_def_035,axiom,
    ( hskp18
  <=> $true ) ).

%------ Positive definition of hskp17 
fof(lit_def_036,axiom,
    ( hskp17
  <=> $false ) ).

%------ Positive definition of hskp16 
fof(lit_def_037,axiom,
    ( hskp16
  <=> $false ) ).

%------ Positive definition of hskp15 
fof(lit_def_038,axiom,
    ( hskp15
  <=> $false ) ).

%------ Positive definition of hskp14 
fof(lit_def_039,axiom,
    ( hskp14
  <=> $false ) ).

%------ Positive definition of hskp13 
fof(lit_def_040,axiom,
    ( hskp13
  <=> $false ) ).

%------ Positive definition of hskp12 
fof(lit_def_041,axiom,
    ( hskp12
  <=> $false ) ).

%------ Positive definition of hskp11 
fof(lit_def_042,axiom,
    ( hskp11
  <=> $true ) ).

%------ Positive definition of hskp10 
fof(lit_def_043,axiom,
    ( hskp10
  <=> $false ) ).

%------ Positive definition of hskp9 
fof(lit_def_044,axiom,
    ( hskp9
  <=> $true ) ).

%------ Positive definition of hskp8 
fof(lit_def_045,axiom,
    ( hskp8
  <=> $true ) ).

%------ Positive definition of hskp7 
fof(lit_def_046,axiom,
    ( hskp7
  <=> $false ) ).

%------ Positive definition of hskp6 
fof(lit_def_047,axiom,
    ( hskp6
  <=> $true ) ).

%------ Positive definition of hskp5 
fof(lit_def_048,axiom,
    ( hskp5
  <=> $false ) ).

%------ Positive definition of hskp4 
fof(lit_def_049,axiom,
    ( hskp4
  <=> $false ) ).

%------ Positive definition of hskp3 
fof(lit_def_050,axiom,
    ( hskp3
  <=> $true ) ).

%------ Positive definition of hskp2 
fof(lit_def_051,axiom,
    ( hskp2
  <=> $true ) ).

%------ Positive definition of hskp1 
fof(lit_def_052,axiom,
    ( hskp1
  <=> $true ) ).

%------ Positive definition of hskp0 
fof(lit_def_053,axiom,
    ( hskp0
  <=> $true ) ).

%------ Positive definition of c1_1 
fof(lit_def_054,axiom,
    ! [X0] :
      ( c1_1(X0)
    <=> ( X0 = a64
        | X0 = a63
        | X0 = a60
        | X0 = a56
        | X0 = a44
        | X0 = a42
        | X0 = a40
        | X0 = a4
        | X0 = a2
        | X0 = a75
        | X0 = a71
        | X0 = a67
        | X0 = a66
        | X0 = a62
        | X0 = a61
        | X0 = a51
        | X0 = a49
        | X0 = a46
        | X0 = a36
        | X0 = a34
        | X0 = a32
        | X0 = a31
        | X0 = a29
        | X0 = a20
        | X0 = a19
        | X0 = a11
        | X0 = a9
        | X0 = a8
        | X0 = a7
        | X0 = a6
        | X0 = a5
        | X0 = a68
        | X0 = a59
        | X0 = a50
        | X0 = a41
        | X0 = a30
        | X0 = a27
        | X0 = a10 ) ) ).

%------ Negative definition of c2_1 
fof(lit_def_055,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
    <=> ( X0 = a75
        | X0 = a67
        | X0 = a61
        | X0 = a51
        | X0 = a49
        | X0 = a46
        | X0 = a36
        | X0 = a34
        | X0 = a32
        | X0 = a31
        | X0 = a29
        | X0 = a19
        | X0 = a11
        | X0 = a9
        | X0 = a8
        | X0 = a6
        | X0 = a5
        | X0 = a68
        | X0 = a59
        | X0 = a50
        | X0 = a41
        | X0 = a30
        | X0 = a27
        | X0 = a10 ) ) ).

%------ Positive definition of c3_1 
fof(lit_def_056,axiom,
    ! [X0] :
      ( c3_1(X0)
    <=> ( X0 = a64
        | X0 = a63
        | X0 = a60
        | X0 = a56
        | X0 = a44
        | X0 = a42
        | X0 = a40
        | X0 = a4
        | X0 = a2
        | X0 = a75
        | X0 = a73
        | X0 = a71
        | X0 = a67
        | X0 = a66
        | X0 = a62
        | X0 = a61
        | X0 = a51
        | X0 = a49
        | X0 = a46
        | X0 = a36
        | X0 = a34
        | X0 = a33
        | X0 = a32
        | X0 = a31
        | X0 = a29
        | X0 = a26
        | X0 = a24
        | X0 = a20
        | X0 = a19
        | X0 = a15
        | X0 = a11
        | X0 = a8
        | X0 = a7
        | X0 = a6
        | X0 = a5
        | X0 = a59
        | X0 = a50
        | X0 = a41
        | X0 = a30
        | X0 = a27
        | X0 = a10 ) ) ).

%------ Positive definition of c0_1 
fof(lit_def_057,axiom,
    ! [X0] :
      ( c0_1(X0)
    <=> ( X0 = a64
        | X0 = a63
        | X0 = a60
        | X0 = a56
        | X0 = a44
        | X0 = a42
        | X0 = a40
        | X0 = a4
        | X0 = a2
        | X0 = a75
        | X0 = a71
        | X0 = a66
        | X0 = a62
        | X0 = a31
        | X0 = a29
        | X0 = a20
        | X0 = a11
        | X0 = a7
        | X0 = a6
        | X0 = a50
        | X0 = a27
        | X0 = a10 ) ) ).

%------ Negative definition of c4_1 
fof(lit_def_058,axiom,
    ! [X0] :
      ( ~ c4_1(X0)
    <=> ( X0 = a75
        | X0 = a67
        | X0 = a51
        | X0 = a34
        | X0 = a31
        | X0 = a29
        | X0 = a11
        | X0 = a9
        | X0 = a6
        | X0 = a68
        | X0 = a59
        | X0 = a50
        | X0 = a41
        | X0 = a30
        | X0 = a27
        | X0 = a10 ) ) ).

%------ Positive definition of c5_1 
fof(lit_def_059,axiom,
    ! [X0] :
      ( c5_1(X0)
    <=> ( X0 = a64
        | X0 = a63
        | X0 = a60
        | X0 = a56
        | X0 = a44
        | X0 = a42
        | X0 = a40
        | X0 = a4
        | X0 = a2
        | X0 = a71
        | X0 = a66
        | X0 = a62
        | X0 = a61
        | X0 = a49
        | X0 = a46
        | X0 = a36
        | X0 = a34
        | X0 = a32
        | X0 = a20
        | X0 = a19
        | X0 = a8
        | X0 = a7
        | X0 = a5 ) ) ).

%------ Positive definition of sP0_iProver_split 
fof(lit_def_060,axiom,
    ( sP0_iProver_split
  <=> $false ) ).

%------ Positive definition of sP1_iProver_split 
fof(lit_def_061,axiom,
    ( sP1_iProver_split
  <=> $true ) ).

%------ Positive definition of sP2_iProver_split 
fof(lit_def_062,axiom,
    ( sP2_iProver_split
  <=> $false ) ).

%------ Positive definition of sP3_iProver_split 
fof(lit_def_063,axiom,
    ( sP3_iProver_split
  <=> $false ) ).

%------ Positive definition of sP4_iProver_split 
fof(lit_def_064,axiom,
    ( sP4_iProver_split
  <=> $false ) ).

%------ Positive definition of sP5_iProver_split 
fof(lit_def_065,axiom,
    ( sP5_iProver_split
  <=> $true ) ).

%------ Positive definition of sP6_iProver_split 
fof(lit_def_066,axiom,
    ( sP6_iProver_split
  <=> $false ) ).

%------ Positive definition of sP7_iProver_split 
fof(lit_def_067,axiom,
    ( sP7_iProver_split
  <=> $false ) ).

%------ Positive definition of sP8_iProver_split 
fof(lit_def_068,axiom,
    ( sP8_iProver_split
  <=> $true ) ).

%------ Positive definition of sP9_iProver_split 
fof(lit_def_069,axiom,
    ( sP9_iProver_split
  <=> $false ) ).

%------ Positive definition of sP10_iProver_split 
fof(lit_def_070,axiom,
    ( sP10_iProver_split
  <=> $false ) ).

%------ Positive definition of sP11_iProver_split 
fof(lit_def_071,axiom,
    ( sP11_iProver_split
  <=> $true ) ).

%------ Positive definition of sP12_iProver_split 
fof(lit_def_072,axiom,
    ( sP12_iProver_split
  <=> $true ) ).

%------ Positive definition of sP13_iProver_split 
fof(lit_def_073,axiom,
    ( sP13_iProver_split
  <=> $false ) ).

%------ Positive definition of sP14_iProver_split 
fof(lit_def_074,axiom,
    ( sP14_iProver_split
  <=> $false ) ).

%------ Positive definition of sP15_iProver_split 
fof(lit_def_075,axiom,
    ( sP15_iProver_split
  <=> $true ) ).

%------ Positive definition of sP16_iProver_split 
fof(lit_def_076,axiom,
    ( sP16_iProver_split
  <=> $false ) ).

%------ Positive definition of sP17_iProver_split 
fof(lit_def_077,axiom,
    ( sP17_iProver_split
  <=> $false ) ).

%------ Positive definition of sP18_iProver_split 
fof(lit_def_078,axiom,
    ( sP18_iProver_split
  <=> $true ) ).

%------ Positive definition of sP19_iProver_split 
fof(lit_def_079,axiom,
    ( sP19_iProver_split
  <=> $false ) ).

%------ Positive definition of sP20_iProver_split 
fof(lit_def_080,axiom,
    ( sP20_iProver_split
  <=> $false ) ).

%------ Positive definition of sP21_iProver_split 
fof(lit_def_081,axiom,
    ( sP21_iProver_split
  <=> $false ) ).

%------ Positive definition of sP22_iProver_split 
fof(lit_def_082,axiom,
    ( sP22_iProver_split
  <=> $false ) ).

%------ Positive definition of sP23_iProver_split 
fof(lit_def_083,axiom,
    ( sP23_iProver_split
  <=> $true ) ).

%------ Positive definition of sP24_iProver_split 
fof(lit_def_084,axiom,
    ( sP24_iProver_split
  <=> $false ) ).

%------ Positive definition of sP25_iProver_split 
fof(lit_def_085,axiom,
    ( sP25_iProver_split
  <=> $true ) ).

%------ Positive definition of sP26_iProver_split 
fof(lit_def_086,axiom,
    ( sP26_iProver_split
  <=> $false ) ).

%------ Positive definition of sP27_iProver_split 
fof(lit_def_087,axiom,
    ( sP27_iProver_split
  <=> $false ) ).

%------ Positive definition of sP28_iProver_split 
fof(lit_def_088,axiom,
    ( sP28_iProver_split
  <=> $false ) ).

%------ Positive definition of sP29_iProver_split 
fof(lit_def_089,axiom,
    ( sP29_iProver_split
  <=> $false ) ).

%------ Positive definition of sP30_iProver_split 
fof(lit_def_090,axiom,
    ( sP30_iProver_split
  <=> $false ) ).

%------ Positive definition of sP31_iProver_split 
fof(lit_def_091,axiom,
    ( sP31_iProver_split
  <=> $true ) ).

%------ Positive definition of sP32_iProver_split 
fof(lit_def_092,axiom,
    ( sP32_iProver_split
  <=> $true ) ).

%------ Positive definition of sP33_iProver_split 
fof(lit_def_093,axiom,
    ( sP33_iProver_split
  <=> $false ) ).

%------ Positive definition of sP34_iProver_split 
fof(lit_def_094,axiom,
    ( sP34_iProver_split
  <=> $true ) ).

%------ Positive definition of sP35_iProver_split 
fof(lit_def_095,axiom,
    ( sP35_iProver_split
  <=> $false ) ).

%------ Positive definition of sP36_iProver_split 
fof(lit_def_096,axiom,
    ( sP36_iProver_split
  <=> $false ) ).

%------ Positive definition of sP37_iProver_split 
fof(lit_def_097,axiom,
    ( sP37_iProver_split
  <=> $false ) ).

%------ Positive definition of sP38_iProver_split 
fof(lit_def_098,axiom,
    ( sP38_iProver_split
  <=> $false ) ).

%------ Positive definition of sP39_iProver_split 
fof(lit_def_099,axiom,
    ( sP39_iProver_split
  <=> $false ) ).

%------ Positive definition of sP40_iProver_split 
fof(lit_def_100,axiom,
    ( sP40_iProver_split
  <=> $true ) ).

%------ Positive definition of sP41_iProver_split 
fof(lit_def_101,axiom,
    ( sP41_iProver_split
  <=> $false ) ).

%------ Positive definition of sP42_iProver_split 
fof(lit_def_102,axiom,
    ( sP42_iProver_split
  <=> $false ) ).

%------ Positive definition of sP43_iProver_split 
fof(lit_def_103,axiom,
    ( sP43_iProver_split
  <=> $true ) ).

%------ Positive definition of sP44_iProver_split 
fof(lit_def_104,axiom,
    ( sP44_iProver_split
  <=> $false ) ).

%------ Positive definition of sP45_iProver_split 
fof(lit_def_105,axiom,
    ( sP45_iProver_split
  <=> $false ) ).

%------ Positive definition of sP46_iProver_split 
fof(lit_def_106,axiom,
    ( sP46_iProver_split
  <=> $false ) ).

%------ Positive definition of sP47_iProver_split 
fof(lit_def_107,axiom,
    ( sP47_iProver_split
  <=> $false ) ).

%------ Positive definition of sP48_iProver_split 
fof(lit_def_108,axiom,
    ( sP48_iProver_split
  <=> $false ) ).

%------ Positive definition of sP49_iProver_split 
fof(lit_def_109,axiom,
    ( sP49_iProver_split
  <=> $true ) ).

%------ Positive definition of sP50_iProver_split 
fof(lit_def_110,axiom,
    ( sP50_iProver_split
  <=> $false ) ).

%------ Positive definition of sP51_iProver_split 
fof(lit_def_111,axiom,
    ( sP51_iProver_split
  <=> $false ) ).

%------ Positive definition of sP52_iProver_split 
fof(lit_def_112,axiom,
    ( sP52_iProver_split
  <=> $false ) ).

%------ Positive definition of sP53_iProver_split 
fof(lit_def_113,axiom,
    ( sP53_iProver_split
  <=> $false ) ).

%------ Positive definition of sP54_iProver_split 
fof(lit_def_114,axiom,
    ( sP54_iProver_split
  <=> $false ) ).

%------ Positive definition of sP55_iProver_split 
fof(lit_def_115,axiom,
    ( sP55_iProver_split
  <=> $true ) ).

%------ Positive definition of sP56_iProver_split 
fof(lit_def_116,axiom,
    ( sP56_iProver_split
  <=> $false ) ).

%------ Positive definition of sP57_iProver_split 
fof(lit_def_117,axiom,
    ( sP57_iProver_split
  <=> $false ) ).

%------ Positive definition of sP58_iProver_split 
fof(lit_def_118,axiom,
    ( sP58_iProver_split
  <=> $false ) ).

%------ Positive definition of sP59_iProver_split 
fof(lit_def_119,axiom,
    ( sP59_iProver_split
  <=> $false ) ).

%------ Positive definition of sP60_iProver_split 
fof(lit_def_120,axiom,
    ( sP60_iProver_split
  <=> $false ) ).

%------ Positive definition of sP61_iProver_split 
fof(lit_def_121,axiom,
    ( sP61_iProver_split
  <=> $false ) ).

%------ Positive definition of sP62_iProver_split 
fof(lit_def_122,axiom,
    ( sP62_iProver_split
  <=> $false ) ).

%------ Positive definition of sP63_iProver_split 
fof(lit_def_123,axiom,
    ( sP63_iProver_split
  <=> $false ) ).

%------ Positive definition of sP64_iProver_split 
fof(lit_def_124,axiom,
    ( sP64_iProver_split
  <=> $false ) ).

%------ Positive definition of sP65_iProver_split 
fof(lit_def_125,axiom,
    ( sP65_iProver_split
  <=> $true ) ).

%------ Positive definition of sP66_iProver_split 
fof(lit_def_126,axiom,
    ( sP66_iProver_split
  <=> $true ) ).

%------ Positive definition of sP67_iProver_split 
fof(lit_def_127,axiom,
    ( sP67_iProver_split
  <=> $false ) ).

%------ Positive definition of sP68_iProver_split 
fof(lit_def_128,axiom,
    ( sP68_iProver_split
  <=> $false ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN542-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command  : run_iprover %s %d SAT
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Aug 26 21:42:02 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  Running model finding
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.48/1.16  % SZS status Started for theBenchmark.p
% 3.48/1.16  % SZS status Satisfiable for theBenchmark.p
% 3.48/1.16  
% 3.48/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.48/1.16  
% 3.48/1.16  ------  iProver source info
% 3.48/1.16  
% 3.48/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.48/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.48/1.16  git: non_committed_changes: false
% 3.48/1.16  git: last_make_outside_of_git: false
% 3.48/1.16  
% 3.48/1.16  ------ Parsing...successful
% 3.48/1.16  
% 3.48/1.16  
% 3.48/1.16  
% 3.48/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.48/1.16  
% 3.48/1.16  ------ Preprocessing... gs_s  sp: 85 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.48/1.16  ------ Proving...
% 3.48/1.16  ------ Problem Properties 
% 3.48/1.16  
% 3.48/1.16  
% 3.48/1.16  clauses                                 294
% 3.48/1.16  conjectures                             276
% 3.48/1.16  EPR                                     294
% 3.48/1.16  Horn                                    196
% 3.48/1.16  unary                                   0
% 3.48/1.16  binary                                  159
% 3.48/1.16  lits                                    792
% 3.48/1.16  lits eq                                 0
% 3.48/1.16  fd_pure                                 0
% 3.48/1.16  fd_pseudo                               0
% 3.48/1.16  fd_cond                                 0
% 3.48/1.16  fd_pseudo_cond                          0
% 3.48/1.16  AC symbols                              0
% 3.48/1.16  
% 3.48/1.16  ------ Input Options Time Limit: Unbounded
% 3.48/1.16  
% 3.48/1.16  
% 3.48/1.16  ------ Finite Models:
% 3.48/1.16  
% 3.48/1.16  ------ lit_activity_flag true
% 3.48/1.16  
% 3.48/1.16  ------ 
% 3.48/1.16  Current options:
% 3.48/1.16  ------ 
% 3.48/1.16  
% 3.48/1.16  
% 3.48/1.16  
% 3.48/1.16  
% 3.48/1.16  ------ Proving...
% 3.48/1.16  
% 3.48/1.16  
% 3.48/1.16  % SZS status Satisfiable for theBenchmark.p
% 3.48/1.16  
% 3.48/1.16  ------ Building Model...Done
% 3.48/1.16  
% 3.48/1.16  %------ The model is defined over ground terms (initial term algebra).
% 3.48/1.16  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 3.48/1.16  %------ where \phi is a formula over the term algebra.
% 3.48/1.16  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 3.48/1.16  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 3.48/1.16  %------ See help for --sat_out_model for different model outputs.
% 3.48/1.16  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 3.48/1.16  %------ where the first argument stands for the sort ($i in the unsorted case)
% 3.48/1.16  % SZS output start Model for theBenchmark.p
% See solution above
% 3.48/1.17  ------                               Statistics
% 3.48/1.17  
% 3.48/1.17  ------ Problem properties
% 3.48/1.17  
% 3.48/1.17  clauses:                                294
% 3.48/1.17  conjectures:                            276
% 3.48/1.17  epr:                                    294
% 3.48/1.17  horn:                                   196
% 3.48/1.17  ground:                                 225
% 3.48/1.17  unary:                                  0
% 3.48/1.17  binary:                                 159
% 3.48/1.17  lits:                                   792
% 3.48/1.17  lits_eq:                                0
% 3.48/1.17  fd_pure:                                0
% 3.48/1.17  fd_pseudo:                              0
% 3.48/1.17  fd_cond:                                0
% 3.48/1.17  fd_pseudo_cond:                         0
% 3.48/1.17  ac_symbols:                             0
% 3.48/1.17  
% 3.48/1.17  ------ General
% 3.48/1.17  
% 3.48/1.17  abstr_ref_over_cycles:                  0
% 3.48/1.17  abstr_ref_under_cycles:                 0
% 3.48/1.17  gc_basic_clause_elim:                   0
% 3.48/1.17  num_of_symbols:                         290
% 3.48/1.17  num_of_terms:                           1229
% 3.48/1.17  
% 3.48/1.17  parsing_time:                           0.014
% 3.48/1.17  unif_index_cands_time:                  0.009
% 3.48/1.17  unif_index_add_time:                    0.008
% 3.48/1.17  orderings_time:                         0.
% 3.48/1.17  out_proof_time:                         0.
% 3.48/1.17  total_time:                             0.523
% 3.48/1.17  
% 3.48/1.17  ------ Preprocessing
% 3.48/1.17  
% 3.48/1.17  num_of_splits:                          85
% 3.48/1.17  num_of_split_atoms:                     69
% 3.48/1.17  num_of_reused_defs:                     16
% 3.48/1.17  num_eq_ax_congr_red:                    0
% 3.48/1.17  num_of_sem_filtered_clauses:            1
% 3.48/1.17  num_of_subtypes:                        0
% 3.48/1.17  monotx_restored_types:                  0
% 3.48/1.17  sat_num_of_epr_types:                   1
% 3.48/1.17  sat_num_of_non_cyclic_types:            1
% 3.48/1.17  sat_guarded_non_collapsed_types:        0
% 3.48/1.17  num_pure_diseq_elim:                    0
% 3.48/1.17  simp_replaced_by:                       0
% 3.48/1.17  res_preprocessed:                       0
% 3.48/1.17  sup_preprocessed:                       0
% 3.48/1.17  prep_upred:                             0
% 3.48/1.17  prep_unflattend:                        0
% 3.48/1.17  prep_well_definedness:                  0
% 3.48/1.17  smt_new_axioms:                         0
% 3.48/1.17  pred_elim_cands:                        59
% 3.48/1.17  pred_elim:                              6
% 3.48/1.17  pred_elim_cl:                           6
% 3.48/1.17  pred_elim_cycles:                       112
% 3.48/1.17  merged_defs:                            0
% 3.48/1.17  merged_defs_ncl:                        0
% 3.48/1.17  bin_hyper_res:                          0
% 3.48/1.17  prep_cycles:                            2
% 3.48/1.17  
% 3.48/1.17  splitting_time:                         0.
% 3.48/1.17  sem_filter_time:                        0.005
% 3.48/1.17  monotx_time:                            0.
% 3.48/1.17  subtype_inf_time:                       0.
% 3.48/1.17  res_prep_time:                          0.081
% 3.48/1.17  sup_prep_time:                          0.
% 3.48/1.17  pred_elim_time:                         0.134
% 3.48/1.17  bin_hyper_res_time:                     0.001
% 3.48/1.17  prep_time_total:                        0.248
% 3.48/1.17  
% 3.48/1.17  ------ Propositional Solver
% 3.48/1.17  
% 3.48/1.17  prop_solver_calls:                      34
% 3.48/1.17  prop_fast_solver_calls:                 7405
% 3.48/1.17  smt_solver_calls:                       0
% 3.48/1.17  smt_fast_solver_calls:                  0
% 3.48/1.17  prop_num_of_clauses:                    4097
% 3.48/1.17  prop_preprocess_simplified:             14589
% 3.48/1.17  prop_fo_subsumed:                       107
% 3.48/1.17  
% 3.48/1.17  prop_solver_time:                       0.009
% 3.48/1.17  prop_fast_solver_time:                  0.006
% 3.48/1.17  prop_unsat_core_time:                   0.
% 3.48/1.17  smt_solver_time:                        0.
% 3.48/1.17  smt_fast_solver_time:                   0.
% 3.48/1.17  
% 3.48/1.17  ------ QBF
% 3.48/1.17  
% 3.48/1.17  qbf_q_res:                              0
% 3.48/1.17  qbf_num_tautologies:                    0
% 3.48/1.17  qbf_prep_cycles:                        0
% 3.48/1.17  
% 3.48/1.17  ------ BMC1
% 3.48/1.17  
% 3.48/1.17  bmc1_current_bound:                     -1
% 3.48/1.17  bmc1_last_solved_bound:                 -1
% 3.48/1.17  bmc1_unsat_core_size:                   -1
% 3.48/1.17  bmc1_unsat_core_parents_size:           -1
% 3.48/1.17  bmc1_merge_next_fun:                    0
% 3.48/1.17  
% 3.48/1.17  bmc1_unsat_core_clauses_time:           0.
% 3.48/1.17  
% 3.48/1.17  ------ Instantiation
% 3.48/1.17  
% 3.48/1.17  inst_num_of_clauses:                    2464
% 3.48/1.17  inst_num_in_passive:                    0
% 3.48/1.17  inst_num_in_active:                     3994
% 3.48/1.17  inst_num_of_loops:                      7784
% 3.48/1.17  inst_num_in_unprocessed:                0
% 3.48/1.17  inst_num_of_learning_restarts:          1
% 3.48/1.17  inst_num_moves_active_passive:          3769
% 3.48/1.17  inst_lit_activity:                      0
% 3.48/1.17  inst_lit_activity_moves:                0
% 3.48/1.17  inst_num_tautologies:                   0
% 3.48/1.17  inst_num_prop_implied:                  0
% 3.48/1.17  inst_num_existing_simplified:           0
% 3.48/1.17  inst_num_eq_res_simplified:             0
% 3.48/1.17  inst_num_child_elim:                    0
% 3.48/1.17  inst_num_of_dismatching_blockings:      0
% 3.48/1.17  inst_num_of_non_proper_insts:           2857
% 3.48/1.17  inst_num_of_duplicates:                 0
% 3.48/1.17  inst_inst_num_from_inst_to_res:         0
% 3.48/1.17  
% 3.48/1.17  inst_time_sim_new:                      0.061
% 3.48/1.17  inst_time_sim_given:                    0.
% 3.48/1.17  inst_time_dismatching_checking:         0.014
% 3.48/1.17  inst_time_total:                        0.218
% 3.48/1.17  
% 3.48/1.17  ------ Resolution
% 3.48/1.17  
% 3.48/1.17  res_num_of_clauses:                     225
% 3.48/1.17  res_num_in_passive:                     0
% 3.48/1.17  res_num_in_active:                      0
% 3.48/1.17  res_num_of_loops:                       459
% 3.48/1.17  res_forward_subset_subsumed:            0
% 3.48/1.17  res_backward_subset_subsumed:           0
% 3.48/1.17  res_forward_subsumed:                   0
% 3.48/1.17  res_backward_subsumed:                  0
% 3.48/1.17  res_forward_subsumption_resolution:     0
% 3.48/1.17  res_backward_subsumption_resolution:    0
% 3.48/1.17  res_clause_to_clause_subsumption:       8
% 3.48/1.17  res_subs_bck_cnt:                       0
% 3.48/1.17  res_orphan_elimination:                 0
% 3.48/1.17  res_tautology_del:                      0
% 3.48/1.17  res_num_eq_res_simplified:              0
% 3.48/1.17  res_num_sel_changes:                    0
% 3.48/1.17  res_moves_from_active_to_pass:          0
% 3.48/1.17  
% 3.48/1.17  res_time_sim_new:                       0.019
% 3.48/1.17  res_time_sim_fw_given:                  0.047
% 3.48/1.17  res_time_sim_bw_given:                  0.009
% 3.48/1.17  res_time_total:                         0.02
% 3.48/1.17  
% 3.48/1.17  ------ Superposition
% 3.48/1.17  
% 3.48/1.17  sup_num_of_clauses:                     undef
% 3.48/1.17  sup_num_in_active:                      undef
% 3.48/1.17  sup_num_in_passive:                     undef
% 3.48/1.17  sup_num_of_loops:                       0
% 3.48/1.17  sup_fw_superposition:                   0
% 3.48/1.17  sup_bw_superposition:                   0
% 3.48/1.17  sup_eq_factoring:                       0
% 3.48/1.17  sup_eq_resolution:                      0
% 3.48/1.17  sup_immediate_simplified:               0
% 3.48/1.17  sup_given_eliminated:                   0
% 3.48/1.17  comparisons_done:                       0
% 3.48/1.17  comparisons_avoided:                    0
% 3.48/1.17  comparisons_inc_criteria:               0
% 3.48/1.17  sup_deep_cl_discarded:                  0
% 3.48/1.17  sup_num_of_deepenings:                  0
% 3.48/1.17  sup_num_of_restarts:                    0
% 3.48/1.17  
% 3.48/1.17  sup_time_generating:                    0.
% 3.48/1.17  sup_time_sim_fw_full:                   0.
% 3.48/1.17  sup_time_sim_bw_full:                   0.
% 3.48/1.17  sup_time_sim_fw_immed:                  0.
% 3.48/1.17  sup_time_sim_bw_immed:                  0.
% 3.48/1.17  sup_time_prep_sim_fw_input:             0.
% 3.48/1.17  sup_time_prep_sim_bw_input:             0.
% 3.48/1.17  sup_time_total:                         0.
% 3.48/1.17  
% 3.48/1.17  ------ Simplifications
% 3.48/1.17  
% 3.48/1.17  sim_repeated:                           0
% 3.48/1.17  sim_fw_subset_subsumed:                 0
% 3.48/1.17  sim_bw_subset_subsumed:                 0
% 3.48/1.17  sim_fw_subsumed:                        0
% 3.48/1.17  sim_bw_subsumed:                        0
% 3.48/1.17  sim_fw_subsumption_res:                 0
% 3.48/1.17  sim_bw_subsumption_res:                 0
% 3.48/1.17  sim_fw_unit_subs:                       0
% 3.48/1.17  sim_bw_unit_subs:                       0
% 3.48/1.17  sim_tautology_del:                      0
% 3.48/1.17  sim_eq_tautology_del:                   0
% 3.48/1.17  sim_eq_res_simp:                        0
% 3.48/1.17  sim_fw_demodulated:                     0
% 3.48/1.17  sim_bw_demodulated:                     0
% 3.48/1.17  sim_encompassment_demod:                0
% 3.48/1.17  sim_light_normalised:                   0
% 3.48/1.17  sim_ac_normalised:                      0
% 3.48/1.17  sim_joinable_taut:                      0
% 3.48/1.17  sim_joinable_simp:                      0
% 3.48/1.17  sim_fw_ac_demod:                        0
% 3.48/1.17  sim_bw_ac_demod:                        0
% 3.48/1.17  sim_smt_subsumption:                    0
% 3.48/1.17  sim_smt_simplified:                     0
% 3.48/1.17  sim_ground_joinable:                    0
% 3.48/1.17  sim_bw_ground_joinable:                 0
% 3.48/1.17  sim_connectedness:                      0
% 3.48/1.17  
% 3.48/1.17  sim_time_fw_subset_subs:                0.
% 3.48/1.17  sim_time_bw_subset_subs:                0.
% 3.48/1.17  sim_time_fw_subs:                       0.
% 3.48/1.17  sim_time_bw_subs:                       0.
% 3.48/1.17  sim_time_fw_subs_res:                   0.
% 3.48/1.17  sim_time_bw_subs_res:                   0.
% 3.48/1.17  sim_time_fw_unit_subs:                  0.
% 3.48/1.17  sim_time_bw_unit_subs:                  0.
% 3.48/1.17  sim_time_tautology_del:                 0.
% 3.48/1.17  sim_time_eq_tautology_del:              0.
% 3.48/1.17  sim_time_eq_res_simp:                   0.
% 3.48/1.17  sim_time_fw_demod:                      0.
% 3.48/1.17  sim_time_bw_demod:                      0.
% 3.48/1.17  sim_time_light_norm:                    0.
% 3.48/1.17  sim_time_joinable:                      0.
% 3.48/1.17  sim_time_ac_norm:                       0.
% 3.48/1.17  sim_time_fw_ac_demod:                   0.
% 3.48/1.17  sim_time_bw_ac_demod:                   0.
% 3.48/1.17  sim_time_smt_subs:                      0.
% 3.48/1.17  sim_time_fw_gjoin:                      0.
% 3.48/1.17  sim_time_fw_connected:                  0.
% 3.48/1.17  
% 3.48/1.17  
%------------------------------------------------------------------------------